Question

A growth medium is inoculated with 1,000 bacteria, which grow at a rate of 15% each day. What is the population of the
culture 6 days after inoculation?
y= 1,000(1.15) 2,313 bacteria
y= 1,000(1.15)
y= 1,000(1.5)
y= 1,000(1.5)6 11,391 bacteria

Answer 1

Answer:

Option A) y=1000(1.15)^6   2313 bacteria

Step-by-step explanation:

The initial value is 1,000 and the growth factor would be the the 15%.

15% can be rewritten to .15, but you have to have to add 1 for the start to make the equation easier. Thus making the growth factor 1.15

After multiplying 1000(1.15)^6 you will get 2313.06076562 which is simplified to 2,313 bacteria.

Hope this is helpful. :)

Answer 2

The population of the culture 6 days after inoculation is y = 1,000(1.15) 2,313 bacteria.

What is population growth of bacteria?

• The growth of bacterial cultures is defined as an increase in the number of bacteria in a population rather than in the size of individual cells.
• The growth of a bacterial population occurs in a geometric or exponential manner: with each division cycle (generation), one cell gives rise to 2 cells, then 4 cells, then 8 cells, then 16, then 32, and so forth.

According to the given statement, a growth medium exists inoculated with 1,000 bacteria.

Bacteria grow at a rate of 15% = 0.15

Add 1 to create it easier = 0.15 + 1 = 1.15

We have to estimate the population of the culture 6 days after inoculation.

$= 1000(1.15)^6$

= 1000(2.313)

= 2313 bacteria

The population of the culture 6 days after inoculation = 2313 bacteria

Therefore the correct answer is y = 1,000(1.15) 2,313 bacteria.

To learn more about the population growth of bacteria refer to:

https://brainly.com/question/12993325

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